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Finding the Fourth Proportional to 664,266.82, 916,710.33 and 362,477.38

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Solution

The fourth proportional to 664,266.82, 916,710.33 and 362,477.38 is: 500,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,266.82 : 916,710.33 = 362,477.38 : x
  2. Step 2: Convert to fraction form
    664,266.82/916,710.33 = 362,477.38/x
  3. Step 3: Cross multiply
    664,266.82x = 916,710.33 × 362,477.38
  4. Step 4: Simplify right side
    664,266.82x = 332,286,758,637.34
  5. Step 5: Solve for x
    x = 332,286,758,637.34/664,266.82
  6. Step 6: Final answer
    x = 500,230.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.